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Consider a Floating-Strike Lookback Put Option Written on a Stock SmaxS ^ { \max }

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Consider a floating-strike lookback put option written on a stock. Let SmaxS ^ { \max } and SminS ^ { \min } denote the maximum and minimum prices of the stock over the option's life. Then, the payoff to the option holder is given by max{XY,0}\max \{ X - Y , 0 \} , where


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